Finding the Fourth Proportional to 728,175.64, 1,004,916.41 and 405,888.09
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Solution
The fourth proportional to 728,175.64, 1,004,916.41 and 405,888.09 is: 560,144.53
Step by Step Solution
- Step 1: Write the proportion equation
728,175.64 : 1,004,916.41 = 405,888.09 : x - Step 2: Convert to fraction form
728,175.64/1,004,916.41 = 405,888.09/x - Step 3: Cross multiply
728,175.64x = 1,004,916.41 × 405,888.09 - Step 4: Simplify right side
728,175.64x = 407,883,602,264.56 - Step 5: Solve for x
x = 407,883,602,264.56/728,175.64 - Step 6: Final answer
x = 560,144.53
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.